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Finding the Third Proportional to 1,167,119,709 and 2,520,588,628

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Solution

The third proportional to 1,167,119,709 and 2,520,588,628 is: 5,443,629,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,119,709 : 2,520,588,628 = 2,520,588,628 : x
  2. Step 2: Convert to fraction form
    1,167,119,709/2,520,588,628 = 2,520,588,628/x
  3. Step 3: Cross multiply
    1,167,119,709x = 2,520,588,628 × 2,520,588,628
  4. Step 4: Simplify right side
    1,167,119,709x = 6,353,367,031,602,922,496
  5. Step 5: Solve for x
    x = 6,353,367,031,602,922,496/1,167,119,709
  6. Step 6: Final answer
    x = 5,443,629,288.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.